The differentiation operator in the space of uniformly convergent Dirichlet series |
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| Authors: | José Bonet |
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| Affiliation: | Instituto Universitario de Matemática Pura y Aplicada IUMPA, Universitat Politècnica de València, Valencia, E-46071 Spain |
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| Abstract: | Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Fréchet space of all Dirichlet series that are uniformly convergent in all half-planes for each . The properties of the formal inverse of the differentiation are also investigated. |
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| Keywords: | abscissas of convergence differentiation operator Fréchet space integration operator spaces of Dirichlet series |
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